the solution of fully fuzzy quadratic equations based on restricted variation

Firstly, in this paper, we apply the fuzzy restricted variation method to achieve an analytical andapproximate unsymmetrical fuzzy solution for fully fuzzy quadratic equation. in this application,after nding the real root of 1-cut of~a~x2+~b~x+~c=~d, initial guess is always chosen withpossible unknown parameters that leads to highly accurate solution. this technique is applying tosolve mentioned equation in four cases via the sign of coecients and variable that there is not zeroin support of them and we solve the problems to nd positive or negative solution. this method hasbeen shown to solve e ectively, easily and accurately a large class of nonlinear quadratic equationswith approximations converging rapidly to accurate solution. in this paper we present the solutionsin four cases with formulas, that can be used to write the algorithm for this technique. finally toillustrate easy application and rich behavior of this method, several examples are given